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Finding the Third Proportional to 195,334 and 414,658

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Solution

The third proportional to 195,334 and 414,658 is: 880,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,334 : 414,658 = 414,658 : x
  2. Step 2: Convert to fraction form
    195,334/414,658 = 414,658/x
  3. Step 3: Cross multiply
    195,334x = 414,658 × 414,658
  4. Step 4: Simplify right side
    195,334x = 171,941,256,964
  5. Step 5: Solve for x
    x = 171,941,256,964/195,334
  6. Step 6: Final answer
    x = 880,242.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.